Question

Calculate the molarity of $HCl$ of density $1.17g/ml$.

Answer 1

The density of the given solution is provided here where the molarity can be calculated using the molar mass of $HCl$. Using the specific formula for calculating the molarity at this density $1.17g/ml$ can be calculated.

Complete step by step answer:
The density here is given as $1.17g/ml$ which is applicable for the $HCl$ solution chosen here. For calculation of molarity of $HCl$ the molar mass is very important and it can be calculated only after taking the mass of hydrogen and chlorine.
The mass of hydrogen $\left( H \right)$ is taken as $1$ and the mass of chlorine $\left( {Cl} \right)$ is taken as $35.5$. Therefore, the mass of both the elements is taken for calculating the molar mass of $HCl$ which finally is seen as:
$HCl = 1 + 35.5 = 36.5$
If the molar mass is taken as $Z$ and the density is taken as $D$, from there we can calculate the molarity. The formula which needs to be used to calculate the molarity is:
$Molarity = \dfrac{D}{Z} \times 1000$
Here it is given that $D = 1.17g/ml$ and $Z = 36.5$ is calculated. Therefore, from here if we put the values in the equation we get:
$Molarity = \dfrac{{1.17}}{{36.5}} \times 1000$
$Molarity = \dfrac{{1170}}{{36.5}}$
$Molarity = 32.05moles/L$
Hence the calculated molarity for the $HCl$ solution for the given density is $32.05moles/L$. It can also be written as $32.05\left( M \right)$ solution of $HCl$. The molarity needs to be calculated to determine the number of moles in a particular volume of the solution. This can help calculate the number of moles involved in the process of reaction of specific components in the reaction.

Note:
Defining the molarity of any solution helps determine the level of reactants which are involved in the process. The density is important because the molecular density defines the number of moles for each volume of the solution.